Hi ArcticWolves
The answer for this question would be D) Real or the fourth option since 10/2 is a real fraction number and not a natural, whole, or integer.
![\frac{12}{75} = \frac{3*4}{3*25}= \frac{4}{25} = \frac{16}{100} =.16](https://tex.z-dn.net/?f=%20%5Cfrac%7B12%7D%7B75%7D%20%3D%20%5Cfrac%7B3%2A4%7D%7B3%2A25%7D%3D%20%20%5Cfrac%7B4%7D%7B25%7D%20%3D%20%5Cfrac%7B16%7D%7B100%7D%20%3D.16)
So all you do is put it as a number over 100, and then put that number behind the decimal. (BEWARE! If you have a value over 10 or 1000 or any other number of that sort, then it will work too. Just make sure the number's place corresponds to the value it is "over" ---> .1 is in the 10ths place, so it would be
![\frac{1}{10}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B10%7D%20)
. .245 is in the 1000ths place so it would be
![\frac{245}{1000}](https://tex.z-dn.net/?f=%20%5Cfrac%7B245%7D%7B1000%7D%20)
)
HOPE THIS WAS HELPFUL! If so, please rate my answer!
Answer
Y=1/2x-3
Explanation
The general equation of a straight line is the form
Y = mx + c
where m ⇒slope of the line.
In the equation given, we make y the subject of the formula then we arrange the equation to resemble y=mx+c.
6y-3x=-18
6y = -18 + 3x
y = -18/6 + 3x/6
-3 + (1/2)x
y = (1/2)x - 3
Answer:
Equation is: y = 0.5x² + 0.5x - 3
Explanation:
general form of the parabola is:
y = ax² + bx + c
Now, we will need to solve for a, b and c.
To do this, we will simply get points from the graph, substitute in the general equation and solve for the missing coefficients.
First point that we will use is (0,-3).
y = y = ax² + bx + c
-3 = a(0)² + b(0) + c
c = -3
The equation now becomes:
y = ax² + bx - 3
The second point that we will use is (2,0):
y = ax² + bx - 3
0 = a(2)² + b(2) - 3
0 = 4a + 2b -3
4a + 2b = 3
This means that:
2b = 3 - 4a
b = 1.5 - 2a ...........> I
The third point that we will use is (-3,0):
y = ax² + bx - 3
0 = a(-3)² + b(-3) - 3
0 = 9a - 3b - 3
9a - 3b = 3 ...........> II
Substitute with I in II and solve for a as follows:
9a - 3b = 3
9a - 3(1.5 - 2a) = 3
9a - 4.5 + 6a = 3
15a = 7.5
a = 7.5 / 15
a = 0.5
Substitute with the value of a in equation I to get b as follows:
b = 1.5 - 2a
b = 1.5 - 2(0.5)
b = 0.5
Substitute with a and b in the equation as follows:
y = 0.5x² + 0.5x - 3
Hope this helps :)